alleryThe phase difference between displacement $x$ and velocity $v$ in SHM is:
A0
B$\pi/4$
C$\pi/2$ (velocity leads displacement by $\pi/2$)
D$\pi$
Answer & Solution
Correct answer: C. $\pi/2$ (velocity leads displacement by $\pi/2$)
$x = A\sin\omega t$ ⇒ $v = A\omega\cos\omega t = A\omega\sin(\omega t + \pi/2)$.
So velocity leads displacement by $\pi/2$ (i.e., $v$ peaks 1/4 period earlier).
Acceleration leads velocity by another $\pi/2$, so $a$ is $\pi$ out of phase with $x$.
Keep practising Kinetic Theory & Oscillations
Browse all Kinetic Theory & Oscillations questions for Karnataka PUC I, or explore more Physics topics.
Related questions
NEET · Physics · Oscillation Period — Gap FillNEET · Physics · Kinetic Theory — SortA diatomic ideal gas has $C_v = \tfrac{5}{2}R$. Its $C_p$ and ratio $\gamma$ are:If $x_1 = A in(\omega t)$ and $x_2 = A in(\omega t + \pi/3)$, the resultant amplitude of $Two springs of constants $k_1$ and $k_2$ connected in **series** have effective spring conA spring of force constant $k$ is cut into two equal halves. The force constant of each haA simple pendulum of period $T$ on Earth is taken to the Moon where $g_{moon} = g/6$. Its In SHM, when the displacement is half the amplitude (x = A/2), the ratio of KE to PE is: